Give proof for the fact that if R is a simple ring which has a minimal left ideal, then R is a semisimple ring.
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Expert's answer
2012-11-19T08:06:51-0500
Now suppose R is a simplering which has a minimal left ideal. Then soc(RR) <>0 and so soc(RR) = R. This means that RR is a semisimple module, so R is a semisimple ring.
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